Concept of activation energy

Last updated: 17 August 2026

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Some chemical reactions are energetically favourable yet do not happen immediately. Hydrogen and oxygen can remain together without instantly forming water, while a fuel can sit in air until a spark or flame is supplied. Something must first allow the reacting particles to cross an energy barrier.

That barrier is described by the activation energy. It connects several important ideas in reaction kinetics: collision theory, energy profile diagrams, Boltzmann distributions, temperature and catalysis.

Once these ideas are linked together, explanations of reaction rate become much more logical. Instead of simply memorising that a higher temperature makes a reaction faster, you can explain exactly what happens to the reacting particles and why the number of successful collisions increases.

Diagnostic Quiz

Can You See the Energy Barrier?

Try these five questions before reading the chapter. They check whether you already understand the basic connection between collisions, energy and reaction rate.

  • 5 quick questions
  • Focus on the core activation-energy ideas
  • Every answer option is explained

Activation energy and successful collisions

According to collision theory, reactant particles must collide before a reaction can occur. However, not every collision leads to reaction.

During a successful collision, existing bonds may need to weaken or break while new bonds begin to form. Reaching the required high-energy arrangement therefore requires energy.

Activation energy, Eₐ = minimum energy required for a reaction to occur

If colliding particles do not possess enough energy to overcome this barrier, they separate again without forming products.

CollisionEnergy of collisionOrientationOutcome
Collision 1Less than EₐSuitableNo reaction because there is insufficient energy
Collision 2At least EₐUnsuitableNo reaction because the particles are incorrectly oriented
Collision 3At least EₐSuitableA successful collision can occur
Having energy ≥ Eₐ is necessary, but it does not guarantee reaction.

The particles must also collide in an orientation that allows the necessary bond changes to occur. A collision with sufficient energy but an unsuitable orientation may still be unsuccessful.

Why is there an energy barrier?

Reactant molecules do not normally change directly from intact reactants into stable products. As they approach and interact, bonds may be stretched, electron distributions change and repulsive interactions must be overcome.

The reacting system must therefore pass through a less stable, higher-energy arrangement before the products can form. Energy must first be supplied to reach this arrangement.

Activation energy can therefore be thought of as an energy threshold. Particles below this threshold cannot reach the required transition state during a collision.

Activation energy on an energy profile diagram

An energy profile diagram shows how the energy of a reacting system changes as the reaction proceeds from reactants to products.

The vertical axis represents energy, or enthalpy when an enthalpy profile is being considered. The horizontal axis represents the progress of the reaction. It does not represent time.

FeatureMeaning
Reactant energy levelThe energy of the reacting substances before reaction
Peak of the curveThe transition state, or activated complex
Product energy levelThe energy of the substances formed
Activation energy, EₐThe energy difference between the reactants and the transition state
Enthalpy change, ΔHThe energy difference between the products and reactants

The transition state

The highest point on the energy profile represents the transition state, sometimes called the activated complex.

This is an extremely short-lived, high-energy arrangement of atoms in which the bonding is changing. It should not be thought of as an ordinary stable substance that can simply be isolated and stored.

Eₐ(forward) = energy of transition state − energy of reactants
Always measure Eₐ from the reactant energy level.

The activation-energy arrow should not start from the bottom of the vertical axis. It starts at the energy level of the reactants and extends to the peak of the energy barrier.

Activation energy is not the same as ΔH

Activation energy and enthalpy change describe different energy differences.

ΔH = energy of products − energy of reactants

In an exothermic reaction, the products are lower in energy than the reactants and ΔH is negative. In an endothermic reaction, the products are higher in energy than the reactants and ΔH is positive.

Both reactions can still require an activation energy before products can form.

QuantityMeasured betweenWhat it describes
EₐReactants and transition stateThe energy barrier that must be overcome
ΔHReactants and productsThe overall enthalpy change of the reaction

Forward and reverse activation energies

The same energy profile can also be read in the reverse direction. For the reverse reaction, the original products become the reactants.

Eₐ(reverse) = energy of transition state − energy of products

The forward and reverse activation energies are therefore generally different when the reactants and products have different energies.

ΔH = Eₐ(forward) − Eₐ(reverse)

Do not confuse the height of the barrier with the overall energy change.

An exothermic reaction can still have a large activation energy. A negative ΔH means that the products are lower in energy than the reactants; it does not mean that the reaction can start without first overcoming an energy barrier.

Activation energy and the Boltzmann distribution

At a particular temperature, the particles in a sample do not all possess the same kinetic energy. Some have relatively little energy, while others have considerably more.

This spread of molecular energies can be represented using a Boltzmann distribution.

Feature of the graphMeaning
x-axisKinetic energy of the particles
y-axisNumber, or fraction, of particles possessing a particular energy
Area under the curveTotal number of particles represented
Eₐ lineThe minimum energy threshold required for reaction
Area to the right of EₐParticles possessing energy ≥ Eₐ

The curve begins at the origin, rises to a maximum and then decreases gradually as kinetic energy increases. It has a long high-energy tail that approaches the horizontal axis.

What does the Eₐ line mean?

Imagine drawing a vertical line at the activation energy. Particles represented to the left of this line possess less energy than Eₐ. Particles represented to the right possess energy equal to or greater than Eₐ.

Area to the right of Eₐ ∝ fraction of particles with energy ≥ Eₐ

A larger fraction beyond Eₐ means that more collisions have enough energy to overcome the activation barrier.

The area beyond Eₐ represents energetically capable particles, not guaranteed reactions.

Particles with energy ≥ Eₐ possess sufficient energy for reaction, but a suitable collision orientation may still be required.

Why does the total area under the curve matter?

If two Boltzmann curves describe the same sample, the total area under each curve is the same because the same total number of particles is being represented.

Increasing temperature redistributes the particles among different kinetic energies. It does not create additional particles simply because the shape of the curve changes.

How increasing temperature increases reaction rate

Increasing temperature generally increases reaction rate. There are two related effects that help explain this.

Particles move faster and collide more frequently

At a higher temperature, particles have a higher average kinetic energy. They move faster, so collisions generally occur more frequently.

This increase in collision frequency contributes to the increase in reaction rate, but it is not usually the most important part of the explanation.

A much larger fraction of particles can overcome Eₐ

Increasing temperature changes the shape of the Boltzmann distribution. Compared with the distribution at a lower temperature:

  • the peak becomes lower;
  • the curve becomes broader;
  • the peak occurs at a higher kinetic energy; and
  • a greater fraction of particles is found in the high-energy region.

The activation energy has not changed. Instead, a much larger fraction of particles now lies beyond the same Eₐ threshold.

Higher temperature → larger fraction with energy ≥ Eₐ → more successful collisions per unit time

This increase in the fraction of particles capable of overcoming Eₐ explains why a relatively modest rise in temperature can cause a much larger increase in reaction rate.

Incorrect idea: Increasing temperature lowers the activation energy.

Correct reasoning: For the same reaction pathway, Eₐ remains unchanged. Increasing temperature changes the Boltzmann distribution so that a greater fraction of particles has energy ≥ Eₐ.

What happens to the rate constant, k?

For a specified reaction, increasing temperature increases the rate constant, k. At the higher temperature, a greater proportion of collisions can overcome the activation-energy barrier.

This differs from increasing reactant concentration. Increasing concentration may increase the reaction rate because collisions become more frequent, but at constant temperature it does not by itself change k for the same reaction and conditions.

How a catalyst lowers the activation energy

A catalyst increases reaction rate by providing an alternative reaction pathway with a lower activation energy.

Eₐ(catalysed pathway) < Eₐ(uncatalysed pathway)

Because the new barrier is lower, a greater fraction of the reacting particles possesses sufficient energy to overcome it at the same temperature.

How is a catalyst shown on an energy profile diagram?

The catalysed pathway has a lower maximum than the uncatalysed pathway. The energies of the reactants and products remain unchanged.

A catalyst therefore lowers Eₐ but does not change the overall enthalpy change, ΔH.

ΔH(catalysed) = ΔH(uncatalysed)

How is a catalyst shown using a Boltzmann distribution?

At the same temperature, adding a catalyst does not change the Boltzmann distribution curve. The distribution of particle kinetic energies remains the same.

Instead, the required activation energy becomes lower. The Eₐ line for the catalysed pathway therefore lies further to the left than the Eₐ line for the uncatalysed pathway.

A larger fraction of the existing distribution now lies to the right of the lower activation-energy threshold.

A catalyst changes the pathway, not the kinetic energies of the particles.

Increasing temperature changes the Boltzmann distribution. Adding a catalyst at constant temperature leaves that distribution unchanged but lowers the energy threshold that particles must overcome.

FeatureIncreasing temperatureAdding a catalyst
Boltzmann distributionChanges shapeUnchanged at the same temperature
Activation energyUnchanged for the same pathwayLower for the alternative pathway
Fraction with sufficient energyIncreasesIncreases because the threshold is lower
Frequency of successful collisionsIncreasesIncreases
Reaction rateIncreasesIncreases
ΔHUnchanged for the reactionUnchanged

Activation energy and the rate constant, k

The rate constant, k, appears in a reaction's rate equation and reflects the kinetics of the reaction under specified conditions.

Increasing temperature increases k because a greater fraction of particles can overcome the activation-energy barrier.

A suitable catalyst introduces a different reaction pathway with a lower Eₐ. Reaction through the catalysed pathway is therefore faster at the same temperature.

ChangeEffect on reaction rateEffect on k
Increase reactant concentrationUsually increasesUnchanged at constant temperature for the same reaction conditions
Increase gaseous reactant pressureUsually increasesUnchanged at constant temperature for the same reaction conditions
Increase temperatureIncreasesIncreases
Add a suitable catalystIncreasesThe reaction proceeds through a different, lower-Eₐ kinetic pathway
Do not confuse factors that change rate with factors that change k.

Increasing concentration can increase reaction rate because more collisions occur per unit time. At constant temperature, however, concentration does not change the activation-energy barrier or k for the same reaction conditions.

Worked examples with activation energy

Example 1: reading an energy profile

An energy profile has the following energy levels:

  • reactants = 40 kJ mol⁻¹;
  • transition state = 125 kJ mol⁻¹; and
  • products = 10 kJ mol⁻¹.

First find the activation energy of the forward reaction:

Eₐ(forward) = 125 − 40 = 85 kJ mol⁻¹

Next find the enthalpy change:

ΔH = 10 − 40 = −30 kJ mol⁻¹

The negative value shows that the forward reaction is exothermic.

For the reverse reaction:

Eₐ(reverse) = 125 − 10 = 115 kJ mol⁻¹
Answer: Eₐ(forward) = 85 kJ mol⁻¹, ΔH = −30 kJ mol⁻¹ and Eₐ(reverse) = 115 kJ mol⁻¹.

Example 2: explaining the effect of temperature

Suppose the same reaction is carried out first at temperature T₁ and then at a higher temperature T₂.

A strong explanation should connect the Boltzmann distribution to successful collisions.

At the higher temperature, the Boltzmann distribution becomes broader and its peak becomes lower and occurs at a higher kinetic energy. A greater fraction of particles therefore possesses energy ≥ Eₐ. The particles also move faster, so collisions occur more frequently. Hence successful collisions occur more frequently and the reaction rate increases.

Notice that Eₐ has not decreased. The reaction pathway remains unchanged.

Example 3: explaining the effect of a catalyst

Suppose an uncatalysed reaction has an activation energy of 80 kJ mol⁻¹ and a catalyst provides an alternative pathway with an activation energy of 45 kJ mol⁻¹.

At the same temperature, the Boltzmann distribution itself is unchanged. However, many more particles possess energy of at least 45 kJ mol⁻¹ than possess energy of at least 80 kJ mol⁻¹.

The catalyst provides an alternative reaction pathway with a lower activation energy. A larger fraction of particles therefore possesses sufficient energy to overcome the activation barrier, increasing the frequency of successful collisions and hence the reaction rate.

Common mistakes with activation energy

Common mistakeWhy it is wrongCorrect approach
Drawing the Eₐ arrow from the bottom of the energy diagramEₐ is an energy difference relative to the reactantsDraw the arrow from the reactant energy level to the peak
Treating Eₐ as the same quantity as ΔHEₐ measures the barrier, whereas ΔH compares products with reactantsIdentify the reactants, transition state and products separately
Saying every collision with energy ≥ Eₐ produces productsSuitable collision orientation may also be requiredState that sufficient energy and suitable orientation are required
Saying increasing temperature lowers EₐTemperature changes particle energies, not the reaction pathwayState that the fraction of particles with energy ≥ Eₐ increases
Drawing a larger total area under the higher-temperature Boltzmann curveThe same sample still contains the same total number of particlesKeep the total areas under the two curves equal
Saying a catalyst shifts the Boltzmann curve to higher energyA catalyst does not increase the temperatureKeep the curve unchanged and lower the Eₐ threshold
Saying a catalyst changes ΔHThe reactant and product energy levels remain unchangedShow a lower pathway with the same starting and finishing energy levels
Saying increased concentration increases kAt constant temperature, concentration changes collision frequency rather than kDistinguish an increase in reaction rate from an increase in the rate constant
Calling the horizontal axis of an energy profile “time”The graph does not show how long the reaction takesLabel it reaction progress or reaction coordinate

Activation-energy checklist

Read an energy profile

  • Identify the reactant and product energy levels.
  • Locate the transition state at the peak.
  • Measure Eₐ from the reactants to the peak.
  • Measure ΔH from the reactants to the products.

Read a Boltzmann distribution

  • Use kinetic energy on the x-axis.
  • Interpret the area under the curve as the total number of particles.
  • Locate the activation-energy threshold.
  • Interpret the area beyond Eₐ as particles with energy ≥ Eₐ.

Explain temperature

  • State that average kinetic energy increases.
  • Describe how the Boltzmann distribution changes.
  • State that the fraction with energy ≥ Eₐ increases.
  • Conclude that successful collisions occur more frequently.

Explain a catalyst

  • State that an alternative pathway is provided.
  • State that the new pathway has a lower Eₐ.
  • Keep the Boltzmann curve unchanged at the same temperature.
  • Remember that ΔH is unchanged.

Mastery Quiz

Activation Energy Mastery Quiz

Now apply the ideas from the chapter. These questions test energy-profile calculations, Boltzmann distributions, temperature, catalysts and the distinction between reaction rate and rate constant.

  • 10 application-focused questions
  • Energy diagrams and kinetic reasoning
  • Every answer option is explained

Questions students often ask about activation energy

These questions connect activation energy with reaction profiles, molecular-energy distributions and the kinetic explanations used throughout A-Level Chemistry.

Can an exothermic reaction still have a large activation energy?

Yes. Exothermic means that the products are lower in energy than the reactants, so ΔH is negative. The reaction may still have to overcome a large activation-energy barrier before the products can form.

This explains why a reaction can be energetically favourable overall yet proceed very slowly at room temperature.

Does a larger activation energy always mean a slower reaction?

Under otherwise comparable conditions, a larger activation energy generally means that a smaller fraction of particles possesses sufficient energy to react, so the reaction tends to be slower.

Other kinetic factors can also affect reaction rate, so activation energies should be compared carefully when the reactions or conditions are very different.

Is the transition state the same as an intermediate?

No. A transition state corresponds to an energy maximum along a reaction pathway and is extremely short-lived.

A reaction intermediate, if present in a multi-step mechanism, corresponds to a local energy minimum between two transition states.

Why does increasing temperature not reduce activation energy?

Activation energy belongs to a particular reaction pathway. Increasing temperature changes the distribution of molecular kinetic energies, allowing more particles to overcome the existing barrier, but it does not create a different pathway.

Why does a catalyst not change ΔH?

ΔH depends only on the energy difference between the initial reactants and final products. A catalyst changes the route between these states but does not change their energy levels.

Does a catalyst lower the activation energy of the reverse reaction as well?

Yes. A catalyst provides an alternative pathway between the same reactants and products. The lower-energy pathway can be followed in either direction, so the activation barriers for both forward and reverse reactions are lowered.

Does a catalyst make the reacting particles move faster?

No. At the same temperature, the distribution of molecular kinetic energies remains unchanged.

The reaction becomes faster because the catalyst provides a pathway with a lower activation energy, not because the particles themselves move faster.

Why is the area beyond Eₐ so important when temperature increases?

Only particles with sufficient energy can overcome the activation barrier. Because Eₐ lies in the high-energy region of the distribution, increasing temperature can cause a substantial increase in the fraction of particles beyond that threshold.

The frequency of successful collisions therefore increases substantially.

Why is reaction progress used on an energy profile instead of time?

An energy profile describes the sequence of energetic and structural changes as reactants become products. The horizontal direction therefore represents progress along the reaction pathway rather than elapsed time.

A tall energy barrier does not mean that the graph is showing a longer period of time.

Does increasing concentration increase the rate constant?

No, not simply because the concentration has increased. At constant temperature for the same reaction conditions, increasing concentration can increase reaction rate by increasing the frequency of collisions.

The rate constant k is not increased merely by increasing reactant concentration.

Activation energy links collision theory to the energy changes that occur as a reaction proceeds. An energy profile shows the barrier that must be crossed, while a Boltzmann distribution shows how many particles possess enough energy to cross it. Increasing temperature raises the fraction of particles with energy ≥ Eₐ, whereas a catalyst provides a different pathway with a lower Eₐ. With these ideas secure, changes in reaction rate and rate constant can be explained in terms of what is actually happening to the reacting particles.

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